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Finding the Fourth Proportional to 206,766.20, 310,203.30 and 66,528.20

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Solution

The fourth proportional to 206,766.20, 310,203.30 and 66,528.20 is: 99,809.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,766.20 : 310,203.30 = 66,528.20 : x
  2. Step 2: Convert to fraction form
    206,766.20/310,203.30 = 66,528.20/x
  3. Step 3: Cross multiply
    206,766.20x = 310,203.30 × 66,528.20
  4. Step 4: Simplify right side
    206,766.20x = 20,637,267,183.06
  5. Step 5: Solve for x
    x = 20,637,267,183.06/206,766.20
  6. Step 6: Final answer
    x = 99,809.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.